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3 years ago

How do I solve this ?

Mathematics

1 answer:

eduard3 years ago

6 0

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

$\dfrac{DC}{ZX}=\dfrac{DY}{ZY}$

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

$\dfrac{x}{16}=\dfrac{a}{2a}$

$\dfrac{x}{16}=\dfrac{1}{2}$ <em>multiply both sides by 16</em>

$\boxed{x=8}$

<h3>Answer: CD = 8</h3>

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A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i

Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: $\frac{x}{20}+\frac{x}{12}+900= 1200$ , where x is the distance.

B. The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is $x$ feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, $Time=\frac{Distance}{Speed}$

So, the time taken by the bee to reach the flowerbed $= \frac{x}{20}$ seconds and the time taken to fly back to the hive $=\frac{x}{12}$ seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

$\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250$

Thus, the distance of the flowerbed from the hive is 2250 feet.

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3 years ago

A Fraction Number: The sum of the numerator and denominator is 40. if its value is 3/5 after simplifying, what is the fraction b

katrin2010 [14]

Here: Fraction = 3/5
Let, original fraction (before simplifying) = 3x/5x
Then, 3x + 5x = 40
8x = 40
x = 40/8
x = 5

So, 3x = 3(5) = 15 & 5(5) = 25

In short, Your Answer would be 15/25

Hope this helps!

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3 years ago

18 POINTS WILL GIVE BRAINLIEST !!

lys-0071 [83]

Answer:

Step-by-step explanation:

The interior triangle has a right angle, and one of its corners is 62, so the other angle, which is vertical to x, is 180-(90+62)=28, so x=28.

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